Transmission Of Heat Question 27

Question: The heat is flowing through two cylindrical rods of same material. The diameters of the rods are in the ratio 1 : 2 and their lengths are in the ratio 2 : 1. If the temperature difference between their ends is the same, the ratio of rate of flow of heat through them will be

[NCERT 1982; CBSE PMT 1995; EAMCET 1997]

Options:

A) 1 : 1

B) 2 : 1

C) 1 : 4

D) 1 : 8

Show Answer

Answer:

Correct Answer: D

Solution:

$ \theta =\frac{5K\times 100+3K\times 20}{5K+3K} $

Therefore $ =\frac{560K}{8K} $ (d = Diameter of rod)

Therefore $ ({{37.4}^{o}}C) $